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| Titel |
Input to state stability in reservoir models |
| VerfasserIn |
Markus Müller, Carlos Sierra |
| Konferenz |
EGU General Assembly 2016
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| Medientyp |
Artikel
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| Sprache |
en
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 18 (2016) |
| Datensatznummer |
250125096
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| Publikation (Nr.) |
 EGU/EGU2016-4626.pdf |
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| Zusammenfassung |
| Models in ecology and biogeochemistry, in particular models of the global carbon cycle, can
be generalized as systems of non-autonomous ordinary differential equations (ODEs). For
many applications, it is important to determine the stability properties for this type of
systems, but most methods available for autonomous systems are not necessarily applicable
for the non-autonomous case. We discuss here stability notions for non-autonomous
nonlinear models represented by systems of ODEs explicitly dependent on time and a
time-varying input signal. We propose Input to State Stability (ISS) as candidate for the
necessary generalization of the established analysis with respect to equilibria or invariant sets
for autonomous systems, and show its usefulness by applying it to reservoir models
typical for element cycling in ecosystem, e.g. in soil organic matter decomposition.
We also show how ISS generalizes existent concepts formerly only available for
Linear Time Invariant (LTI) and Linear Time Variant (LTV) systems to the nonlinear
case. |
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